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Finding the Fourth Proportional to 304,806.38, 420,617.61 and 166,985.82

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Solution

The fourth proportional to 304,806.38, 420,617.61 and 166,985.82 is: 230,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,806.38 : 420,617.61 = 166,985.82 : x
  2. Step 2: Convert to fraction form
    304,806.38/420,617.61 = 166,985.82/x
  3. Step 3: Cross multiply
    304,806.38x = 420,617.61 × 166,985.82
  4. Step 4: Simplify right side
    304,806.38x = 70,237,176,512.29
  5. Step 5: Solve for x
    x = 70,237,176,512.29/304,806.38
  6. Step 6: Final answer
    x = 230,432.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.